This paper shows the approaches and results of an innovation teaching project carried out in the University of Seville and the National University of Colombia. The purpose is to teach architectural geometry within collaborative teams of professors and groups of 25 students. Through a guided exercise, students work on the relationship between geometry and all the phases of the typical architectural process, applying geometry to solve real problems. It begins with the ideation, digital construction and resolution of construction, to conclude with the physical execution of the project.